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PRODID:UW-Madison-Physics-Events
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SEQUENCE:0
UID:UW-Physics-Event-3401
DTSTART:20141017T203000Z
DTEND:20141017T213000Z
DTSTAMP:20260419T161248Z
LAST-MODIFIED:20140918T124956Z
LOCATION:2241 Chamberlin Hall (coffee at 4:30 pm)
SUMMARY:Quantum thermalization\, many-body Anderson localization\, and
  the entanglement frontier\, Physics Department Colloquium\, David Hus
 e\, Princeton University
DESCRIPTION:Progress in physics and quantum information science motiva
 tes much recent study of the behavior of extensively-entangled many-bo
 dy quantum systems fully isolated from their environment\, and thus un
 dergoing unitary time evolution.  What does it mean for such a system 
 to go to thermal equilibrium?  I will explain the Eigenstate Thermaliz
 ation Hypothesis (ETH)\, which posits that each individual exact eigen
 state of the system's Hamiltonian is at thermal equilibrium\, and whic
 h appears to be true for most (but not all) quantum many-body systems.
   Prominent among the systems that do not obey this hypothesis are qua
 ntum systems that are many-body Anderson localized and thus do not con
 stitute a reservoir that can thermalize itself.  When the ETH is true\
 , one can do standard statistical mechanics using the `single-eigensta
 te ensembles'\, which are the limit of the microcanonical ensemble whe
 re the `energy window' contains only a single many-body eigenstate.  T
 hese eigenstate ensembles are more powerful than the traditional stati
 stical mechanical ensembles\, in that they can also "see" the quantum 
 phase transition in to the localized phase\, as well as a rich new wor
 ld of phases and quantum phase transitions within the localized phase.
URL:https://www.physics.wisc.edu/events/?id=3401
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